How to find percentage
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SSAT Middle Level Quantitative › How to find percentage
What percent (%) of 50 is 30?
60%
30%
166%
50%
40%
Explanation
The original number in this problem is 50 and you must find the percentage of 30 from 50.
Another way to view this problem is what percentage of the original 50 equals 30.
Let x equal the percentage:
50(x) = 30
50x = 30
In order to change the decimal 0.6 to a percentage multiply by 100:
0.6 x 100 = 60%
A store normally sells a certain coat for $40. For the holidays it offers a sale where the new price of the coat is now $30. What percent discount is the store selling the coat for?
 discount
 discount
 discount
 discount
 discount
Explanation
The coat is $10 cheaper than normal.

The above hexagon is divided into triangles of equal size. What percent of the hexagon is shaded in?
Explanation
7 of the 12 triangles -  of the hexagon - is shaded in; this is
 of the hexagon.
, so
What is the decimal form of 42.5%?
Explanation
This question is asking you to convert the percent into a decimal. When doing this, you must move the decimal point two spaces to the left. The answer is 
 is 
 of 
.
 is 2.5 % of 
.
What percent of  is 
?
Explanation
For the sake of simplicity, since this reasoning is independent of the actual value of , we will assume that 
. Then 
 is 
 of 100, or simply 
, and 
 is 2.5% of 100, or simply 2.5. To find out what percent 
 is of 
, evaluate:
If  out of 
 students have contact lenses, what percentage of students have contact lenses?
 percent
 percent
 percent
 percent
 percent
Explanation
When dividing  by 
, the reduced form is:
 is the equivalent of 
 percent, which is therefore the correct answer.
 is 20% of 
 and 
 of 
.
What percent of  is 
?
Explanation
20% of a number is  of that number, so 
. Equivalently,
 of a number is 
 of that number, so 
. Equivalently,
To find out what percent  is of 
, evaluate:
.

The above rectangle is divided into squares of equal size. What percent of the rectangle is shaded in?
Explanation
8 of the 10 squares -  of the rectangle - is shaded in, so
of rectangle is shaded.

What percent of the above figures are circles?
Explanation
There are twelve figures, six of which are circles. This is
of the figures.
 is 30% of 
 and 60% of 
.
What percent of  is 
?
Explanation
 is 30% of 
, so
 is 60% of 
, so
To determine what percent of  
 is, evaluate: